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The object of the present paper is to study some types of semisymmetry conditions on two classes of almost Kenmotsu manifolds. It is shown that a $(k,\mu )$-almost Kenmotsu manifold satisfying the curvature condition $Q·R=0$ is locally isometric to the hyperbolic space ${ℍ}^{2n+1}(-1)$. Also in $(k,\mu )$-almost Kenmotsu manifolds the following conditions: (1) local symmetry $(\nabla R=0)$, (2) semisymmetry $(R·R=0)$, (3) $Q(S,R)=0$, (4) $R·R=Q(S,R)$, (5) locally isometric to the hyperbolic space ${ℍ}^{2n+1}(-1)$ are equivalent. Further, it is proved that a ${(k,\mu )}^{\text{'}}$-almost Kenmotsu manifold satisfying...